Finding the Third Proportional to 5,198.50 and 10,703.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,198.50 : 10,703.50 = 10,703.50 : x
2. Step 2: Convert to fraction form
   5,198.50/10,703.50 = 10,703.50/x
3. Step 3: Cross multiply
   5,198.50x = 10,703.50 × 10,703.50
4. Step 4: Simplify right side
   5,198.50x = 114,564,912.25
5. Step 5: Solve for x
   x = 114,564,912.25/5,198.50
6. Step 6: Final answer
   x = 22,038.07